49987810575360 has 1408 divisors, whose sum is σ = 211241407610880. Its totient is φ = 10969310822400.

The previous prime is 49987810575349. The next prime is 49987810575371. The reversal of 49987810575360 is 6357501878994.

49987810575360 is a `hidden beast` number, since 4 + 9 + 9 + 8 + 7 + 8 + 10 + 575 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49987810575349) and next prime (49987810575371).

It is a super-2 number, since 2×49987810575360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3809749600 + ... + 3809762720.

Almost surely, 2^{49987810575360} is an apocalyptic number.

49987810575360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49987810575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105620703805440).

49987810575360 is an abundant number, since it is smaller than the sum of its proper divisors (161253597035520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49987810575360 is a wasteful number, since it uses less digits than its factorization.

49987810575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13320 (or 13296 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 49987810575360 in words is "forty-nine trillion, nine hundred eighty-seven billion, eight hundred ten million, five hundred seventy-five thousand, three hundred sixty".